The equation, dividend, is written below,
x³ - 7x - 6
The divisor from the given is x - 4. If we are to convert this to equation, we have x = 4. In order to determine the answer to the question above, that is the remainder for the division operation, we substitute the x's of the dividend with 4.
R = (4)³ - (7)(4) - 6 = 30
The answer is the third choice, 30.